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Finding the Fourth Proportional to 2,001.90, 3,002.43 and 541.20

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Solution

The fourth proportional to 2,001.90, 3,002.43 and 541.20 is: 811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.90 : 3,002.43 = 541.20 : x
  2. Step 2: Convert to fraction form
    2,001.90/3,002.43 = 541.20/x
  3. Step 3: Cross multiply
    2,001.90x = 3,002.43 × 541.20
  4. Step 4: Simplify right side
    2,001.90x = 1,624,915.12
  5. Step 5: Solve for x
    x = 1,624,915.12/2,001.90
  6. Step 6: Final answer
    x = 811.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.